Fission law of solitary waves propagating over sharply variable topography  

作　　者：Da-lin Tan Ji-fu Zhou Xu Wang 

机构地区：[1]Key Laboratory for Mechanics in Fluid Solid Coupling Systems,Institute of Mechanics,Chinese Academy of Sciences,Beijing 100190,China [2]School of Engineering Sciences,University of Chinese Academy of Sciences,Beijing 100049,China

出　　处：《Journal of Hydrodynamics》2020年第4期727-734,共8页水动力学研究与进展B辑（英文版）

基　　金：Supported by the National Key Research and Development Program of China(Grant No.2017YFC1404202);the National Natural Science Foundation of China(Grant Nos.11572332,11602274);the Strategic Priority Research Program of the Chinese Academy of Sciences(Grant Nos.XDB22040203,XDA22000000).

摘　　要：The fission of solitary waves propagating over variable topography is investigated.In previous theories,to predict the number and the amplitudes of disintegrated solitons in the wave packet generated from a solitary wave,the parameters of the water environment and the incident solitary wave are required.However,it is difficult to measure these parameters in the ocean because of their temporal and spatial variations.In this paper,a fission law,in the form of the expressions of the number and the amplitudes of the disintegrated solitons,is derived from the partial information available on the wave packet.Theoretical analysis shows that the law is suitable fbr describing the fission of both surface and internal solitary waves and is also applicable to the cases of wave damping and wave breaking.Comparisons between the model output and the results from laboratory experiments,numerical simulations and field observations available in the literature demonstrate that the fission law can efficiently estimate the number and the amplitudes of solitons in the wave packet generated by a solitary wave.

关 键 词：Fission law solitary wave packet wave breaking 

分 类 号：O357.3[理学—流体力学]